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40414240 = 255252589
BaseRepresentation
bin1001101000101…
…0110000100000
32211001020220201
42122022300200
540321223430
64002114544
71000341526
oct232126040
984036821
1040414240
11208a38a9
121164ba54
1384b0269
145520316
1538348ca
hex268ac20

40414240 has 24 divisors (see below), whose sum is σ = 95479020. Its totient is φ = 16165632.

The previous prime is 40414237. The next prime is 40414259. The reversal of 40414240 is 4241404.

It can be written as a sum of positive squares in 2 ways, for example, as 35378704 + 5035536 = 5948^2 + 2244^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 126135 + ... + 126454.

Almost surely, 240414240 is an apocalyptic number.

40414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40414240 is an abundant number, since it is smaller than the sum of its proper divisors (55064780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40414240 is a wasteful number, since it uses less digits than its factorization.

40414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252604 (or 252596 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 40414240 is about 6357.2195179968. The cubic root of 40414240 is about 343.1717046963.

Adding to 40414240 its reverse (4241404), we get a palindrome (44655644).

It can be divided in two parts, 4041 and 4240, that added together give a square (8281 = 912).

The spelling of 40414240 in words is "forty million, four hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 252589 505178 1010356 1262945 2020712 2525890 4041424 5051780 8082848 10103560 20207120 40414240